Bennis, Driss \((n,m)\)-SG rings. (English) Zbl 1219.16014 Arab. J. Sci. Eng. (AJSE), Math. 35, No. 2D, 169-178 (2010). Summary: This paper is a continuation of [the author, Int. Electron. J. Algebra 6, 119-133 (2009; Zbl 1196.16006)]. Namely, we introduce and study a doubly filtered set of classes of rings of finite Gorenstein global dimension, which are called \((n,m)\)-SG for integers \(n\geq 1\) and \(m\geq 0\). Examples of \((n,m)\)-SG rings, for \(n=1\) and 2, and every \(m\geq 0\), are given. Cited in 6 Documents MSC: 16E65 Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.) 16E05 Syzygies, resolutions, complexes in associative algebras 16E10 Homological dimension in associative algebras 16E30 Homological functors on modules (Tor, Ext, etc.) in associative algebras Keywords:Gorenstein projective dimension; strongly Gorenstein projective modules; Gorenstein global dimension Citations:Zbl 1196.16006 × Cite Format Result Cite Review PDF Full Text: arXiv